What is the Least Common Multiple of 52217 and 52236?
Least common multiple or lowest common denominator (lcd) can be calculated in two way; with the LCM formula calculation of greatest common factor (GCF), or multiplying the prime factors with the highest exponent factor.
Least common multiple (LCM) of 52217 and 52236 is 2727607212.
LCM(52217,52236) = 2727607212
Least Common Multiple of 52217 and 52236 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 52217 and 52236, than apply into the LCM equation.
GCF(52217,52236) = 1
LCM(52217,52236) = ( 52217 × 52236) / 1
LCM(52217,52236) = 2727607212 / 1
LCM(52217,52236) = 2727607212
Least Common Multiple (LCM) of 52217 and 52236 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 52217 and 52236. First we will calculate the prime factors of 52217 and 52236.
Prime Factorization of 52217
Prime factors of 52217 are 11, 47, 101. Prime factorization of 52217 in exponential form is:
52217 = 111 × 471 × 1011
Prime Factorization of 52236
Prime factors of 52236 are 2, 3, 1451. Prime factorization of 52236 in exponential form is:
52236 = 22 × 32 × 14511
Now multiplying the highest exponent prime factors to calculate the LCM of 52217 and 52236.
LCM(52217,52236) = 111 × 471 × 1011 × 22 × 32 × 14511
LCM(52217,52236) = 2727607212
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